Quantum Spectral Curve for AdS 3/CFT 2: a proposal

Abstract We conjecture the Quantum Spectral Curve equations for string theory on AdS 3 × S 3 × T 4 with RR charge and its CFT2 dual. We show that in the large-length regime, under additional mild assumptions, the QSC reproduces the Asymptotic Bethe Ansatz equations for the massive sector of the theo...

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Published inThe journal of high energy physics Vol. 2021; no. 12; pp. 1 - 44
Main Authors Andrea Cavaglià, Nikolay Gromov, Bogdan Stefański, Alessandro Torrielli
Format Journal Article
LanguageEnglish
Published SpringerOpen 01.12.2021
Subjects
AdS-CFT Correspondence
Bethe Ansatz
Conformal Field Theory
Integrable Field Theories
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Summary:Abstract We conjecture the Quantum Spectral Curve equations for string theory on AdS 3 × S 3 × T 4 with RR charge and its CFT2 dual. We show that in the large-length regime, under additional mild assumptions, the QSC reproduces the Asymptotic Bethe Ansatz equations for the massive sector of the theory, including the exact dressing phases found in the literature. The structure of the QSC shares many similarities with the previously known AdS5 and AdS4 cases, but contains a critical new feature — the branch cuts are no longer quadratic. Nevertheless, we show that much of the QSC analysis can be suitably generalised producing a self-consistent system of equations. While further tests are necessary, particularly outside the massive sector, the simplicity and self-consistency of our construction suggests the completeness of the QSC.
ISSN:1029-8479
DOI:10.1007/JHEP12(2021)048